Biomedical Engineering GATE 2025 Questions with Answer

Ques 27 Biomedical Instrumentation


A Wheatstone bridge is used to measure strain as shown in the figure below.
Initially the bridge was balanced. When a strain is applied to the resistor Rstrain, along its length, the output voltage VOUT is 10 mV. If Rstrain is a cylindrical resistor of length and cross-sectional area A, the magnitude of the applied strain is ______ (rounded off to two decimal places)


Ques 28 Circuit Theory


A voltage source Vs=5 sin(100t+π/2) volts is driving a current I=10 sin(100t+π/6) mA through a circuit. The average power dissipated in the circuit is ______ mW.


Ques 29 Circuit Theory


In the circuit shown below, Vin=10cos(1000t) volts. The magnitude of the input impedance of the circuit is ______ kΩ. (rounded off to one decimal place)


Ques 30 Circuit Theory


For the RLC circuit shown below, the root mean square current (Irms) at the resonance frequency is ______ amperes. (rounded off to the nearest integer)


Ques 31 Control Systems


The closed loop system shown below _______

A

is overdamped

B

is underdamped

C

is critically damped

D

has sustained oscillations


Ques 32 Control Systems


Which one of the following statements is CORRECT for any second order linear system with Proportional Integral Derivative (PID) controller?

A

Integral component decreases residual steady state error

B

Integral component integrates the output signal only

C

Integral component increases residual steady state error

D

Integral component integrates the input signal only


Ques 33 Engineering Mathematics


The determinant of a 3×3 matrix M is 8. If every element of M is multiplied by -2, the determinant of the modified matrix will be

A

-64

B

-16

C

8

D

64


Ques 34 Engineering Mathematics


For any continuous and differentiable function f(x) with first derivative f'(x)≠0 for all values of x, which one of the following is ALWAYS TRUE for a≠b?
Here, a and b are finite and real.

A

f(a)>f(b)

B

f(a)=f(b)

C

f(a)≠f(b)

D

f(a)


Ques 35 Engineering Mathematics


The eigenvalues of the matrix are __________.

A

cosθ and sinθ

B

e and e-iθ where i=√-1

C

cosθ and sinθ

D

cos2θ and sin2θ


Ques 36 Engineering Mathematics


If f(x)=x-1/x, the value of limΔx→0(f(1+Δx)-f(1))/Δx is

A

0

B

1/2

C

1

D

2


Ques 37 Engineering Mathematics


N independent trials of a binomial random variable yield an expectation value of 16 and variance of 12. What is the value of N?

A

80

B

64

C

32

D

16


Ques 38 Engineering Mathematics


Given a function y(x) satisfying the differential equation
y''-0.25y=0,
with initial conditions y(0)=1; y'(0)=1, what is the value of y(loge100)?
Here, y' and y'' are the first and second derivatives of y, respectively.

A

14.05

B

14.25

C

14.95

D

14.65


Ques 39 Engineering Mathematics


Which of the following is/are CORRECT about the value of y=loge(-ex), where x is a real number.

A

y is real valued

B

y is complex valued

C

y=x±inπ, where n is an odd integer and i=√-1

D

y=x±inπ where n is an even integer and i=√-1


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